Question

The area of a square field is 1/2 hectare find the length of its diagonal in metre.​

Answer 1

Step-by-step explanation:

given that

1 hectare = 10,000 m^2

0r 1/2 hectare = 5000m^2

now we know that side*side = area of sq

let the side be a

:

$a {}^{2} = 5000m { }^{2} \\ a = \sqrt{5000} \\ a = \sqrt{25 \times 2 \ \times 100} \\ a = 50 \sqrt{2}$

now we know that daigonal of a sq is side*√2

:• daigonal= 50√2x√2

daigonal= 50(2)

so the daigonal of the field is 100m.